55335 ÷ 8 = 6916 R7
Alright, let's work through the division of 55335 by 8 step by step.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 2:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 55 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 8

Step 3:
8 goes into 73 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 72 from 73 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 4:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 691
Subtract 8 from 13 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 5:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 6916
Subtract 48 from 55 to get 7.

The final result is 6916 with a remainder of 7.